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Finding the Fourth Proportional to 218,203.78, 301,094.77 and 121,384.75

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Solution

The fourth proportional to 218,203.78, 301,094.77 and 121,384.75 is: 167,496.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,203.78 : 301,094.77 = 121,384.75 : x
  2. Step 2: Convert to fraction form
    218,203.78/301,094.77 = 121,384.75/x
  3. Step 3: Cross multiply
    218,203.78x = 301,094.77 × 121,384.75
  4. Step 4: Simplify right side
    218,203.78x = 36,548,313,382.76
  5. Step 5: Solve for x
    x = 36,548,313,382.76/218,203.78
  6. Step 6: Final answer
    x = 167,496.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.